ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 > Class Template Reference

A class to evaluate, differentiate or integrate a 2D spline function. More...

#include <spline_evaluator_2d.hpp>

Collaboration diagram for ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >:

Public Types
using	continuous_dimension_type1 = typename BSplines1::continuous_dimension_type
	The type of the first evaluation continuous dimension used by this class.
using	continuous_dimension_type2 = typename BSplines2::continuous_dimension_type
	The type of the second evaluation continuous dimension used by this class.
using	exec_space = ExecSpace
	The type of the Kokkos execution space used by this class.
using	memory_space = MemorySpace
	The type of the Kokkos memory space used by this class.
using	evaluation_discrete_dimension_type1 = EvaluationDDim1
	The type of the first discrete dimension of interest used by this class.
using	evaluation_discrete_dimension_type2 = EvaluationDDim2
	The type of the second discrete dimension of interest used by this class.
using	bsplines_type1 = BSplines1
	The discrete dimension representing the B-splines along first dimension.
using	bsplines_type2 = BSplines2
	The discrete dimension representing the B-splines along second dimension.
using	evaluation_domain_type1 = ddc::DiscreteDomain< evaluation_discrete_dimension_type1 >
	The type of the domain for the 1D evaluation mesh along first dimension used by this class.
using	evaluation_domain_type2 = ddc::DiscreteDomain< evaluation_discrete_dimension_type2 >
	The type of the domain for the 1D evaluation mesh along second dimension used by this class.
using	evaluation_domain_type = ddc::DiscreteDomain< evaluation_discrete_dimension_type1, evaluation_discrete_dimension_type2 >
	The type of the domain for the 2D evaluation mesh used by this class.
template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>
using	batched_evaluation_domain_type = BatchedInterpolationDDom
	The type of the whole domain representing evaluation points.
using	spline_domain_type1 = ddc::DiscreteDomain< bsplines_type1 >
	The type of the 1D spline domain corresponding to the first dimension of interest.
using	spline_domain_type2 = ddc::DiscreteDomain< bsplines_type2 >
	The type of the 1D spline domain corresponding to the second dimension of interest.
using	spline_domain_type = ddc::DiscreteDomain< bsplines_type1, bsplines_type2 >
	The type of the 2D spline domain corresponding to the dimensions of interest.
template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>
using	batch_domain_type = typename ddc::remove_dims_of_t< BatchedInterpolationDDom, evaluation_discrete_dimension_type1, evaluation_discrete_dimension_type2 >
	The type of the batch domain (obtained by removing the dimensions of interest from the whole domain).
template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>
using	batched_spline_domain_type = typename ddc::detail::convert_type_seq_to_discrete_domain_t< ddc::type_seq_replace_t< ddc::to_type_seq_t< BatchedInterpolationDDom >, ddc::detail::TypeSeq< evaluation_discrete_dimension_type1, evaluation_discrete_dimension_type2 >, ddc::detail::TypeSeq< bsplines_type1, bsplines_type2 > > >
	The type of the whole spline domain (cartesian product of 2D spline domain and batch domain) preserving the underlying memory layout (order of dimensions).
using	lower_extrapolation_rule_1_type = LowerExtrapolationRule1
	The type of the extrapolation rule at the lower boundary along the first dimension.
using	upper_extrapolation_rule_1_type = UpperExtrapolationRule1
	The type of the extrapolation rule at the upper boundary along the first dimension.
using	lower_extrapolation_rule_2_type = LowerExtrapolationRule2
	The type of the extrapolation rule at the lower boundary along the second dimension.
using	upper_extrapolation_rule_2_type = UpperExtrapolationRule2
	The type of the extrapolation rule at the upper boundary along the second dimension.

Public Member Functions
	SplineEvaluator2D (LowerExtrapolationRule1 const &lower_extrap_rule1, UpperExtrapolationRule1 const &upper_extrap_rule1, LowerExtrapolationRule2 const &lower_extrap_rule2, UpperExtrapolationRule2 const &upper_extrap_rule2)
	Build a SplineEvaluator2D acting on batched_spline_domain.
	SplineEvaluator2D (SplineEvaluator2D const &x)=default
	Copy-constructs.
	SplineEvaluator2D (SplineEvaluator2D &&x)=default
	Move-constructs.
	~SplineEvaluator2D ()=default
	Destructs.
SplineEvaluator2D &	operator= (SplineEvaluator2D const &x)=default
	Copy-assigns.
SplineEvaluator2D &	operator= (SplineEvaluator2D &&x)=default
	Move-assigns.
lower_extrapolation_rule_1_type	lower_extrapolation_rule_dim_1 () const
	Get the lower extrapolation rule along the first dimension.
upper_extrapolation_rule_1_type	upper_extrapolation_rule_dim_1 () const
	Get the upper extrapolation rule along the first dimension.
lower_extrapolation_rule_2_type	lower_extrapolation_rule_dim_2 () const
	Get the lower extrapolation rule along the second dimension.
upper_extrapolation_rule_2_type	upper_extrapolation_rule_dim_2 () const
	Get the upper extrapolation rule along the second dimension.
template<class Layout , class... CoordsDims>
KOKKOS_FUNCTION double	operator() (ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const spline_coef) const
	Evaluate 2D spline function (described by its spline coefficients) at a given coordinate.
template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>
void	operator() (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
	Evaluate 2D spline function (described by its spline coefficients) on a mesh.
template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >
void	operator() (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
	Evaluate 2D spline function (described by its spline coefficients) on a mesh.
template<class Layout , class... CoordsDims>
KOKKOS_FUNCTION double	deriv_dim_1 (ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const spline_coef) const
	Differentiate 2D spline function (described by its spline coefficients) at a given coordinate along first dimension of interest.
template<class Layout , class... CoordsDims>
KOKKOS_FUNCTION double	deriv_dim_2 (ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const spline_coef) const
	Differentiate 2D spline function (described by its spline coefficients) at a given coordinate along second dimension of interest.
template<class Layout , class... CoordsDims>
KOKKOS_FUNCTION double	deriv_1_and_2 (ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const spline_coef) const
	Cross-differentiate 2D spline function (described by its spline coefficients) at a given coordinate.
template<class InterestDim , class Layout , class... CoordsDims>
KOKKOS_FUNCTION double	deriv (ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const spline_coef) const
	Differentiate 2D spline function (described by its spline coefficients) at a given coordinate along a specified dimension of interest.
template<class InterestDim1 , class InterestDim2 , class Layout , class... CoordsDims>
KOKKOS_FUNCTION double	deriv2 (ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const spline_coef) const
	Double-differentiate 2D spline function (described by its spline coefficients) at a given coordinate along specified dimensions of interest.
template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>
void	deriv_dim_1 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
	Differentiate 2D spline function (described by its spline coefficients) on a mesh along first dimension of interest.
template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >
void	deriv_dim_1 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
	Differentiate 2D spline function (described by its spline coefficients) on a mesh along first dimension of interest.
template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>
void	deriv_dim_2 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
	Differentiate 2D spline function (described by its spline coefficients) on a mesh along second dimension of interest.
template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >
void	deriv_dim_2 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
	Differentiate 2D spline function (described by its spline coefficients) on a mesh along second dimension of interest.
template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>
void	deriv_1_and_2 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
	Cross-differentiate 2D spline function (described by its spline coefficients) on a mesh along dimensions of interest.
template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >
void	deriv_1_and_2 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
	Cross-differentiate 2D spline function (described by its spline coefficients) on a mesh along dimensions of interest.
template<class InterestDim , class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>
void	deriv (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
	Differentiate spline function (described by its spline coefficients) on a mesh along a specified dimension of interest.
template<class InterestDim , class Layout1 , class Layout2 , class BatchedInterpolationDDom >
void	deriv (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
	Differentiate spline function (described by its spline coefficients) on a mesh along a specified dimension of interest.
template<class InterestDim1 , class InterestDim2 , class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>
void	deriv2 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
	Double-differentiate 2D spline function (described by its spline coefficients) on a mesh along specified dimensions of interest.
template<class InterestDim1 , class InterestDim2 , class Layout1 , class Layout2 , class BatchedInterpolationDDom >
void	deriv2 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
	Double-differentiate 2D spline function (described by its spline coefficients) on a mesh along specified dimensions of interest.
template<class Layout1 , class Layout2 , class BatchedDDom , class BatchedSplineDDom >
void	integrate (ddc::ChunkSpan< double, BatchedDDom, Layout1, memory_space > const integrals, ddc::ChunkSpan< double const, BatchedSplineDDom, Layout2, memory_space > const spline_coef) const
	Perform batched 2D integrations of a spline function (described by its spline coefficients) along the dimensions of interest and store results on a subdomain of batch_domain.

Detailed Description

template<class ExecSpace, class MemorySpace, class BSplines1, class BSplines2, class EvaluationDDim1, class EvaluationDDim2, class LowerExtrapolationRule1, class UpperExtrapolationRule1, class LowerExtrapolationRule2, class UpperExtrapolationRule2>
class ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >

A class to evaluate, differentiate or integrate a 2D spline function.

A class which contains an operator () which can be used to evaluate, differentiate or integrate a 2D spline function.

Template Parameters

ExecSpace	The Kokkos execution space on which the spline evaluation is performed.
MemorySpace	The Kokkos memory space on which the data (spline coefficients and evaluation) is stored.
BSplines1	The discrete dimension representing the B-splines along the first dimension of interest.
BSplines2	The discrete dimension representing the B-splines along the second dimension of interest.
EvaluationDDim1	The first discrete dimension on which evaluation points are defined.
EvaluationDDim2	The second discrete dimension on which evaluation points are defined.
LowerExtrapolationRule1	The lower extrapolation rule type along first dimension of interest.
UpperExtrapolationRule1	The upper extrapolation rule type along first dimension of interest.
LowerExtrapolationRule2	The lower extrapolation rule type along second dimension of interest.
UpperExtrapolationRule2	The upper extrapolation rule type along second dimension of interest.

Definition at line 47 of file spline_evaluator_2d.hpp.

Member Typedef Documentation

continuous_dimension_type1

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

using ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::continuous_dimension_type1 = typename BSplines1::continuous_dimension_type

The type of the first evaluation continuous dimension used by this class.

Definition at line 66 of file spline_evaluator_2d.hpp.

continuous_dimension_type2

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

using ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::continuous_dimension_type2 = typename BSplines2::continuous_dimension_type

The type of the second evaluation continuous dimension used by this class.

Definition at line 69 of file spline_evaluator_2d.hpp.

exec_space

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

using ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::exec_space = ExecSpace

The type of the Kokkos execution space used by this class.

Definition at line 72 of file spline_evaluator_2d.hpp.

memory_space

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

using ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::memory_space = MemorySpace

The type of the Kokkos memory space used by this class.

Definition at line 75 of file spline_evaluator_2d.hpp.

evaluation_discrete_dimension_type1

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

using ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::evaluation_discrete_dimension_type1 = EvaluationDDim1

The type of the first discrete dimension of interest used by this class.

Definition at line 78 of file spline_evaluator_2d.hpp.

evaluation_discrete_dimension_type2

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

using ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::evaluation_discrete_dimension_type2 = EvaluationDDim2

The type of the second discrete dimension of interest used by this class.

Definition at line 81 of file spline_evaluator_2d.hpp.

bsplines_type1

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

using ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::bsplines_type1 = BSplines1

The discrete dimension representing the B-splines along first dimension.

Definition at line 84 of file spline_evaluator_2d.hpp.

bsplines_type2

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

using ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::bsplines_type2 = BSplines2

The discrete dimension representing the B-splines along second dimension.

Definition at line 87 of file spline_evaluator_2d.hpp.

evaluation_domain_type1

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

using ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::evaluation_domain_type1 = ddc::DiscreteDomain<evaluation_discrete_dimension_type1>

The type of the domain for the 1D evaluation mesh along first dimension used by this class.

Definition at line 90 of file spline_evaluator_2d.hpp.

evaluation_domain_type2

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

using ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::evaluation_domain_type2 = ddc::DiscreteDomain<evaluation_discrete_dimension_type2>

The type of the domain for the 1D evaluation mesh along second dimension used by this class.

Definition at line 93 of file spline_evaluator_2d.hpp.

evaluation_domain_type

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

using ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::evaluation_domain_type = ddc::DiscreteDomain< evaluation_discrete_dimension_type1, evaluation_discrete_dimension_type2>

The type of the domain for the 2D evaluation mesh used by this class.

Definition at line 96 of file spline_evaluator_2d.hpp.

batched_evaluation_domain_type

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>

using ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::batched_evaluation_domain_type = BatchedInterpolationDDom

The type of the whole domain representing evaluation points.

Template Parameters

The	batched discrete domain on which the interpolation points are defined.

Definition at line 108 of file spline_evaluator_2d.hpp.

spline_domain_type1

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

using ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::spline_domain_type1 = ddc::DiscreteDomain<bsplines_type1>

The type of the 1D spline domain corresponding to the first dimension of interest.

Definition at line 111 of file spline_evaluator_2d.hpp.

spline_domain_type2

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

using ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::spline_domain_type2 = ddc::DiscreteDomain<bsplines_type2>

The type of the 1D spline domain corresponding to the second dimension of interest.

Definition at line 114 of file spline_evaluator_2d.hpp.

spline_domain_type

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

using ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::spline_domain_type = ddc::DiscreteDomain<bsplines_type1, bsplines_type2>

The type of the 2D spline domain corresponding to the dimensions of interest.

Definition at line 117 of file spline_evaluator_2d.hpp.

batch_domain_type

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>

using ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::batch_domain_type = typename ddc::remove_dims_of_t< BatchedInterpolationDDom, evaluation_discrete_dimension_type1, evaluation_discrete_dimension_type2>

The type of the batch domain (obtained by removing the dimensions of interest from the whole domain).

Template Parameters

The	batched discrete domain on which the interpolation points are defined.

Definition at line 128 of file spline_evaluator_2d.hpp.

batched_spline_domain_type

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>

using ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::batched_spline_domain_type = typename ddc::detail::convert_type_seq_to_discrete_domain_t<ddc::type_seq_replace_t< ddc::to_type_seq_t<BatchedInterpolationDDom>, ddc::detail::TypeSeq< evaluation_discrete_dimension_type1, evaluation_discrete_dimension_type2>, ddc::detail::TypeSeq<bsplines_type1, bsplines_type2> >>

The type of the whole spline domain (cartesian product of 2D spline domain and batch domain) preserving the underlying memory layout (order of dimensions).

Template Parameters

The	batched discrete domain on which the interpolation points are defined.

Definition at line 142 of file spline_evaluator_2d.hpp.

lower_extrapolation_rule_1_type

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

using ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::lower_extrapolation_rule_1_type = LowerExtrapolationRule1

The type of the extrapolation rule at the lower boundary along the first dimension.

Definition at line 151 of file spline_evaluator_2d.hpp.

upper_extrapolation_rule_1_type

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

using ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::upper_extrapolation_rule_1_type = UpperExtrapolationRule1

The type of the extrapolation rule at the upper boundary along the first dimension.

Definition at line 154 of file spline_evaluator_2d.hpp.

lower_extrapolation_rule_2_type

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

using ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::lower_extrapolation_rule_2_type = LowerExtrapolationRule2

The type of the extrapolation rule at the lower boundary along the second dimension.

Definition at line 157 of file spline_evaluator_2d.hpp.

upper_extrapolation_rule_2_type

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

using ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::upper_extrapolation_rule_2_type = UpperExtrapolationRule2

The type of the extrapolation rule at the upper boundary along the second dimension.

Definition at line 160 of file spline_evaluator_2d.hpp.

Constructor & Destructor Documentation

SplineEvaluator2D() [1/3]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::SplineEvaluator2D ( LowerExtrapolationRule1 const &  lower_extrap_rule1, UpperExtrapolationRule1 const &  upper_extrap_rule1, LowerExtrapolationRule2 const &  lower_extrap_rule2, UpperExtrapolationRule2 const &  upper_extrap_rule2  )

inlineexplicit

Build a SplineEvaluator2D acting on batched_spline_domain.

Parameters

lower_extrap_rule1	The extrapolation rule at the lower boundary along the first dimension.
upper_extrap_rule1	The extrapolation rule at the upper boundary along the first dimension.
lower_extrap_rule2	The extrapolation rule at the lower boundary along the second dimension.
upper_extrap_rule2	The extrapolation rule at the upper boundary along the second dimension.

See also

NullExtrapolationRule ConstantExtrapolationRule PeriodicExtrapolationRule

Definition at line 248 of file spline_evaluator_2d.hpp.

SplineEvaluator2D() [2/3]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::SplineEvaluator2D ( SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 > const &  x )

default

Copy-constructs.

Parameters

x	A reference to another SplineEvaluator.

SplineEvaluator2D() [3/3]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::SplineEvaluator2D ( SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 > &&  x )

default

Move-constructs.

Parameters

x	An rvalue to another SplineEvaluator.

~SplineEvaluator2D()

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::~SplineEvaluator2D ( )

default

Destructs.

Member Function Documentation

operator=() [1/2]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

SplineEvaluator2D & ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::operator= ( SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 > const &  x )

default

Copy-assigns.

Parameters

x	A reference to another SplineEvaluator.

Returns

A reference to this object.

operator=() [2/2]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

SplineEvaluator2D & ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::operator= ( SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 > &&  x )

default

Move-assigns.

Parameters

x	An rvalue to another SplineEvaluator.

Returns

A reference to this object.

lower_extrapolation_rule_dim_1()

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

lower_extrapolation_rule_1_type ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::lower_extrapolation_rule_dim_1 ( ) const

inline

Get the lower extrapolation rule along the first dimension.

Extrapolation rules are functors used to define the behavior of the SplineEvaluator out of the domain where the break points of the B-splines are defined.

Returns

The lower extrapolation rule along the first dimension.

See also

NullExtrapolationRule ConstantExtrapolationRule PeriodicExtrapolationRule

Definition at line 302 of file spline_evaluator_2d.hpp.

upper_extrapolation_rule_dim_1()

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

upper_extrapolation_rule_1_type ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::upper_extrapolation_rule_dim_1 ( ) const

inline

Get the upper extrapolation rule along the first dimension.

Extrapolation rules are functors used to define the behavior of the SplineEvaluator out of the domain where the break points of the B-splines are defined.

Returns

The upper extrapolation rule along the first dimension.

See also

NullExtrapolationRule ConstantExtrapolationRule PeriodicExtrapolationRule

Definition at line 316 of file spline_evaluator_2d.hpp.

lower_extrapolation_rule_dim_2()

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

lower_extrapolation_rule_2_type ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::lower_extrapolation_rule_dim_2 ( ) const

inline

Get the lower extrapolation rule along the second dimension.

Extrapolation rules are functors used to define the behavior of the SplineEvaluator out of the domain where the break points of the B-splines are defined.

Returns

The lower extrapolation rule along the second dimension.

See also

NullExtrapolationRule ConstantExtrapolationRule PeriodicExtrapolationRule

Definition at line 330 of file spline_evaluator_2d.hpp.

upper_extrapolation_rule_dim_2()

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

upper_extrapolation_rule_2_type ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::upper_extrapolation_rule_dim_2 ( ) const

inline

Get the upper extrapolation rule along the second dimension.

Extrapolation rules are functors used to define the behavior of the SplineEvaluator out of the domain where the break points of the B-splines are defined.

Returns

The upper extrapolation rule along the second dimension.

See also

NullExtrapolationRule ConstantExtrapolationRule PeriodicExtrapolationRule

Definition at line 344 of file spline_evaluator_2d.hpp.

operator()() [1/3]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class Layout , class... CoordsDims>

KOKKOS_FUNCTION double ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::operator() ( ddc::Coordinate< CoordsDims... > const &  coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const  spline_coef  ) const

inline

Evaluate 2D spline function (described by its spline coefficients) at a given coordinate.

The spline coefficients represent a 2D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder2D.

Remark: calling SplineBuilder2D then SplineEvaluator2D corresponds to a 2D spline interpolation.

Parameters

coord_eval	The coordinate where the spline is evaluated. Note that only the components along the dimensions of interest are used.
spline_coef	A ChunkSpan storing the 2D spline coefficients.

Returns

The value of the spline function at the desired coordinate.

Definition at line 362 of file spline_evaluator_2d.hpp.

operator()() [2/3]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>

void ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::operator() ( ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const  spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const  coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const  spline_coef  ) const

inline

Evaluate 2D spline function (described by its spline coefficients) on a mesh.

The spline coefficients represent a 2D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder2D.

This is not a nD evaluation. This is a batched 2D evaluation. This means that for each slice of coordinates identified by a batch_domain_type::discrete_element_type, the evaluation is performed with the 2D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Remark: calling SplineBuilder2D then SplineEvaluator2D corresponds to a 2D spline interpolation.

Parameters

[out]	spline_eval	The values of the 2D spline function at the desired coordinates. For practical reasons those are stored in a ChunkSpan defined on a batched_evaluation_domain_type.
[in]	coords_eval	The coordinates where the spline is evaluated. Those are stored in a ChunkSpan defined on a batched_evaluation_domain_type. Note that the coordinates of the points represented by this domain are unused and irrelevant (but the points themselves (DiscreteElement) are used to select the set of 2D spline coefficients retained to perform the evaluation).
[in]	spline_coef	A ChunkSpan storing the 2D spline coefficients.

Definition at line 396 of file spline_evaluator_2d.hpp.

operator()() [3/3]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >

void ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::operator() ( ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const  spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const  spline_coef  ) const

inline

Evaluate 2D spline function (described by its spline coefficients) on a mesh.

The spline coefficients represent a 2D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder2D.

This is not a multidimensional evaluation. This is a batched 2D evaluation. This means that for each slice of spline_eval the evaluation is performed with the 2D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Remark: calling SplineBuilder2D then SplineEvaluator2D corresponds to a 2D spline interpolation.

Parameters

[out]	spline_eval	The values of the 2D spline function at their coordinates.
[in]	spline_coef	A ChunkSpan storing the 2D spline coefficients.

Definition at line 447 of file spline_evaluator_2d.hpp.

deriv_dim_1() [1/3]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class Layout , class... CoordsDims>

KOKKOS_FUNCTION double ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::deriv_dim_1 ( ddc::Coordinate< CoordsDims... > const &  coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const  spline_coef  ) const

inline

Differentiate 2D spline function (described by its spline coefficients) at a given coordinate along first dimension of interest.

The spline coefficients represent a 2D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder2D.

Parameters

coord_eval	The coordinate where the spline is differentiated. Note that only the components along the dimensions of interest are used.
spline_coef	A ChunkSpan storing the 2D spline coefficients.

Returns

The derivative of the spline function at the desired coordinate.

Definition at line 490 of file spline_evaluator_2d.hpp.

deriv_dim_2() [1/3]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class Layout , class... CoordsDims>

KOKKOS_FUNCTION double ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::deriv_dim_2 ( ddc::Coordinate< CoordsDims... > const &  coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const  spline_coef  ) const

inline

Differentiate 2D spline function (described by its spline coefficients) at a given coordinate along second dimension of interest.

The spline coefficients represent a 2D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder2D.

Parameters

coord_eval	The coordinate where the spline is differentiated. Note that only the components along the dimensions of interest are used.
spline_coef	A ChunkSpan storing the 2D spline coefficients.

Returns

The derivative of the spline function at the desired coordinate.

Definition at line 510 of file spline_evaluator_2d.hpp.

deriv_1_and_2() [1/3]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class Layout , class... CoordsDims>

KOKKOS_FUNCTION double ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::deriv_1_and_2 ( ddc::Coordinate< CoordsDims... > const &  coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const  spline_coef  ) const

inline

Cross-differentiate 2D spline function (described by its spline coefficients) at a given coordinate.

The spline coefficients represent a 2D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder2D.

Parameters

coord_eval	The coordinate where the spline is differentiated. Note that only the components along the dimensions of interest are used.
spline_coef	A ChunkSpan storing the 2D spline coefficients.

Returns

The derivative of the spline function at the desired coordinate.

Definition at line 530 of file spline_evaluator_2d.hpp.

deriv() [1/3]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class InterestDim , class Layout , class... CoordsDims>

KOKKOS_FUNCTION double ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::deriv ( ddc::Coordinate< CoordsDims... > const &  coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const  spline_coef  ) const

inline

Differentiate 2D spline function (described by its spline coefficients) at a given coordinate along a specified dimension of interest.

The spline coefficients represent a 2D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder2D.

Template Parameters

InterestDim

Dimension along which differentiation is performed.

Parameters

coord_eval	The coordinate where the spline is differentiated. Note that only the components along the dimensions of interest are used.
spline_coef	A ChunkSpan storing the 2D spline coefficients.

Returns

The derivative of the spline function at the desired coordinate.

Definition at line 552 of file spline_evaluator_2d.hpp.

deriv2() [1/3]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class InterestDim1 , class InterestDim2 , class Layout , class... CoordsDims>

KOKKOS_FUNCTION double ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::deriv2 ( ddc::Coordinate< CoordsDims... > const &  coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const  spline_coef  ) const

inline

Double-differentiate 2D spline function (described by its spline coefficients) at a given coordinate along specified dimensions of interest.

The spline coefficients represent a 2D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder2D.

Note: double-differentiation other than cross-differentiation is not supported atm. See #440

Template Parameters

InterestDim1	First dimension along which differentiation is performed.
InterestDim2	Second dimension along which differentiation is performed.

Parameters

coord_eval	The coordinate where the spline is double-differentiated. Note that only the components along the dimensions of interest are used.
spline_coef	A ChunkSpan storing the 2D spline coefficients.

Returns

The derivative of the spline function at the desired coordinate.

Definition at line 590 of file spline_evaluator_2d.hpp.

deriv_dim_1() [2/3]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>

void ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::deriv_dim_1 ( ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const  spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const  coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const  spline_coef  ) const

inline

Differentiate 2D spline function (described by its spline coefficients) on a mesh along first dimension of interest.

The spline coefficients represent a 2D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder2D.

This is not a nD evaluation. This is a batched 2D differentiation. This means that for each slice of coordinates identified by a batch_domain_type::discrete_element_type, the differentiation is performed with the 2D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

[out]	spline_eval	The derivatives of the 2D spline function at the desired coordinates. For practical reasons those are stored in a ChunkSpan defined on a batched_evaluation_domain_type. Note that the coordinates of the points represented by this domain are unused and irrelevant (but the points themselves (DiscreteElement) are used to select the set of 2D spline coefficients retained to perform the evaluation).
[in]	coords_eval	The coordinates where the spline is differentiated. Those are stored in a ChunkSpan defined on a batched_evaluation_domain_type. Note that the coordinates of the points represented by this domain are unused and irrelevant (but the points themselves (DiscreteElement) are used to select the set of 2D spline coefficients retained to perform the evaluation).
[in]	spline_coef	A ChunkSpan storing the 2D spline coefficients.

Definition at line 633 of file spline_evaluator_2d.hpp.

deriv_dim_1() [3/3]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >

void ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::deriv_dim_1 ( ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const  spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const  spline_coef  ) const

inline

Differentiate 2D spline function (described by its spline coefficients) on a mesh along first dimension of interest.

The spline coefficients represent a 2D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder2D.

This is not a multidimensional evaluation. This is a batched 2D evaluation. This means that for each slice of spline_eval the evaluation is performed with the 2D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

[out]	spline_eval	The derivatives of the 2D spline function at the desired coordinates.
[in]	spline_coef	A ChunkSpan storing the 2D spline coefficients.

Definition at line 684 of file spline_evaluator_2d.hpp.

deriv_dim_2() [2/3]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>

void ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::deriv_dim_2 ( ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const  spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const  coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const  spline_coef  ) const

inline

Differentiate 2D spline function (described by its spline coefficients) on a mesh along second dimension of interest.

The spline coefficients represent a 2D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder2D.

This is not a nD differentiation. This is a batched 2D differentiation. This means that for each slice of coordinates identified by a batch_domain_type::discrete_element_type, the differentiation is performed with the 2D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

[out]	spline_eval	The derivatives of the 2D spline function at the desired coordinates. For practical reasons those are stored in a ChunkSpan defined on a batched_evaluation_domain_type.
[in]	coords_eval	The coordinates where the spline is differentiated. Those are stored in a ChunkSpan defined on a batched_evaluation_domain_type. Note that the coordinates of the points represented by this domain are unused and irrelevant (but the points themselves (DiscreteElement) are used to select the set of 2D spline coefficients retained to perform the evaluation).
[in]	spline_coef	A ChunkSpan storing the 2D spline coefficients.

Definition at line 741 of file spline_evaluator_2d.hpp.

deriv_dim_2() [3/3]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >

void ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::deriv_dim_2 ( ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const  spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const  spline_coef  ) const

inline

Differentiate 2D spline function (described by its spline coefficients) on a mesh along second dimension of interest.

The spline coefficients represent a 2D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder2D.

This is not a multidimensional evaluation. This is a batched 2D evaluation. This means that for each slice of spline_eval the evaluation is performed with the 2D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

[out]	spline_eval	The derivatives of the 2D spline function at the desired coordinates.
[in]	spline_coef	A ChunkSpan storing the 2D spline coefficients.

Definition at line 792 of file spline_evaluator_2d.hpp.

deriv_1_and_2() [2/3]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>

void ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::deriv_1_and_2 ( ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const  spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const  coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const  spline_coef  ) const

inline

Cross-differentiate 2D spline function (described by its spline coefficients) on a mesh along dimensions of interest.

The spline coefficients represent a 2D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder2D.

This is not a nD cross-differentiation. This is a batched 2D cross-differentiation. This means that for each slice of coordinates identified by a batch_domain_type::discrete_element_type, the cross-differentiation is performed with the 2D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

[out]	spline_eval	The cross-derivatives of the 2D spline function at the desired coordinates. For practical reasons those are stored in a ChunkSpan defined on a batched_evaluation_domain_type.
[in]	coords_eval	The coordinates where the spline is differentiated. Those are stored in a ChunkSpan defined on a batched_evaluation_domain_type. Note that the coordinates of the points represented by this domain are unused and irrelevant (but the points themselves (DiscreteElement) are used to select the set of 2D spline coefficients retained to perform the evaluation).
[in]	spline_coef	A ChunkSpan storing the 2D spline coefficients.

Definition at line 849 of file spline_evaluator_2d.hpp.

deriv_1_and_2() [3/3]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >

void ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::deriv_1_and_2 ( ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const  spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const  spline_coef  ) const

inline

Cross-differentiate 2D spline function (described by its spline coefficients) on a mesh along dimensions of interest.

The spline coefficients represent a 2D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder2D.

This is not a multidimensional evaluation. This is a batched 2D evaluation. This means that for each slice of spline_eval the evaluation is performed with the 2D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

[out]	spline_eval	The cross-derivatives of the 2D spline function at the desired coordinates.
[in]	spline_coef	A ChunkSpan storing the 2D spline coefficients.

Definition at line 900 of file spline_evaluator_2d.hpp.

deriv() [2/3]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class InterestDim , class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>

void ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::deriv ( ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const  spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const  coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const  spline_coef  ) const

inline

Differentiate spline function (described by its spline coefficients) on a mesh along a specified dimension of interest.

The spline coefficients represent a 2D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder2D.

This is not a nD evaluation. This is a batched 2D differentiation. This means that for each slice of coordinates identified by a batch_domain_type::discrete_element_type, the differentiation is performed with the 2D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Template Parameters

InterestDim

Dimension along which differentiation is performed.

Parameters

[out]	spline_eval	The derivatives of the 2D spline function at the desired coordinates. For practical reasons those are stored in a ChunkSpan defined on a batched_evaluation_domain_type.
[in]	coords_eval	The coordinates where the spline is differentiated. Those are stored in a ChunkSpan defined on a batched_evaluation_domain_type. Note that the coordinates of the points represented by this domain are unused and irrelevant (but the points themselves (DiscreteElement) are used to select the set of 2D spline coefficients retained to perform the evaluation).
[in]	spline_coef	A ChunkSpan storing the 2D spline coefficients.

Definition at line 959 of file spline_evaluator_2d.hpp.

deriv() [3/3]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class InterestDim , class Layout1 , class Layout2 , class BatchedInterpolationDDom >

void ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::deriv ( ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const  spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const  spline_coef  ) const

inline

Differentiate spline function (described by its spline coefficients) on a mesh along a specified dimension of interest.

The spline coefficients represent a 2D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder2D.

This is not a multidimensional evaluation. This is a batched 2D evaluation. This means that for each slice of spline_eval the evaluation is performed with the 2D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Template Parameters

InterestDim

Dimension along which differentiation is performed.

Parameters

[out]	spline_eval	The derivatives of the 2D spline function at the desired coordinates.
[in]	spline_coef	A ChunkSpan storing the 2D spline coefficients.

Definition at line 1006 of file spline_evaluator_2d.hpp.

deriv2() [2/3]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class InterestDim1 , class InterestDim2 , class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>

void ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::deriv2 ( ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const  spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const  coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const  spline_coef  ) const

inline

Double-differentiate 2D spline function (described by its spline coefficients) on a mesh along specified dimensions of interest.

The spline coefficients represent a 2D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder2D.

This is not a nD evaluation. This is a batched 2D differentiation. This means that for each slice of coordinates identified by a batch_domain_type::discrete_element_type, the differentiation is performed with the 2D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Note: double-differentiation other than cross-differentiation is not supported atm. See #440

Template Parameters

InterestDim1	First dimension along which differentiation is performed.
InterestDim2	Second dimension along which differentiation is performed.

Parameters

[out]	spline_eval	The derivatives of the 2D spline function at the desired coordinates. For practical reasons those are stored in a ChunkSpan defined on a batched_evaluation_domain_type.
[in]	coords_eval	The coordinates where the spline is differentiated. Those are stored in a ChunkSpan defined on a batched_evaluation_domain_type. Note that the coordinates of the points represented by this domain are unused and irrelevant (but the points themselves (DiscreteElement) are used to select the set of 2D spline coefficients retained to perform the evaluation).
[in]	spline_coef	A ChunkSpan storing the 2D spline coefficients.

Definition at line 1064 of file spline_evaluator_2d.hpp.

deriv2() [3/3]

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class InterestDim1 , class InterestDim2 , class Layout1 , class Layout2 , class BatchedInterpolationDDom >

void ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::deriv2 ( ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const  spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const  spline_coef  ) const

inline

Double-differentiate 2D spline function (described by its spline coefficients) on a mesh along specified dimensions of interest.

The spline coefficients represent a 2D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder2D.

This is not a multidimensional evaluation. This is a batched 2D evaluation. This means that for each slice of spline_eval the evaluation is performed with the 2D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Note: double-differentiation other than cross-differentiation is not supported atm. See #440

Template Parameters

InterestDim1	First dimension along which differentiation is performed.
InterestDim2	Second dimension along which differentiation is performed.

Parameters

[out]	spline_eval	The derivatives of the 2D spline function at the desired coordinates.
[in]	spline_coef	A ChunkSpan storing the 2D spline coefficients.

Definition at line 1114 of file spline_evaluator_2d.hpp.

integrate()

template<class ExecSpace , class MemorySpace , class BSplines1 , class BSplines2 , class EvaluationDDim1 , class EvaluationDDim2 , class LowerExtrapolationRule1 , class UpperExtrapolationRule1 , class LowerExtrapolationRule2 , class UpperExtrapolationRule2 >

template<class Layout1 , class Layout2 , class BatchedDDom , class BatchedSplineDDom >

void ddc::SplineEvaluator2D< ExecSpace, MemorySpace, BSplines1, BSplines2, EvaluationDDim1, EvaluationDDim2, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2 >::integrate ( ddc::ChunkSpan< double, BatchedDDom, Layout1, memory_space > const  integrals, ddc::ChunkSpan< double const, BatchedSplineDDom, Layout2, memory_space > const  spline_coef  ) const

inline

Perform batched 2D integrations of a spline function (described by its spline coefficients) along the dimensions of interest and store results on a subdomain of batch_domain.

The spline coefficients represent a 2D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder2D.

This is not a nD integration. This is a batched 2D integration. This means that for each element of integrals, the integration is performed with the 2D set of spline coefficients identified by the same DiscreteElement.

Parameters

[out]	integrals	The integrals of the 2D spline function on the subdomain of batch_domain. For practical reasons those are stored in a ChunkSpan defined on a batch_domain_type. Note that the coordinates of the points represented by this domain are unused and irrelevant.
[in]	spline_coef	A ChunkSpan storing the 2D spline coefficients.

Definition at line 1149 of file spline_evaluator_2d.hpp.

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The documentation for this class was generated from the following file:

• spline_evaluator_2d.hpp